%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : HEN011-5 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:37:26 PM UTC 2026
% Result : Unsatisfiable 4.74s 2.18s
% Output : CNFRefutation 4.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 50 ( 40 unt; 6 def)
% Number of atoms : 137 ( 62 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 30 ( 17 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 7 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn 47 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : divide(divide(X0,X1),X0) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/HEN003-0.ax',quotient_smaller_than_numerator) ).
fof(f2,axiom,
! [X2,X0,X1] : divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/HEN003-0.ax',quotient_property) ).
fof(f3,plain,
! [X2,X0,X1] : zero = divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
inference(reorient_equations,[],[f2]) ).
fof(f6,axiom,
! [X0,X1] :
( X0 = X1
| divide(X1,X0) != zero
| divide(X0,X1) != zero ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN003-0.ax',divide_and_equal) ).
fof(f7,plain,
! [X0,X1] :
( X0 = X1
| zero != divide(X1,X0)
| divide(X0,X1) != zero ),
inference(reorient_equations,[],[f6]) ).
fof(f12,axiom,
! [X0] : divide(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_zero_is_x) ).
fof(f15,axiom,
! [X2,X0,X1] :
( divide(divide(X0,X2),X1) = zero
| divide(divide(X0,X1),X2) != zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide1) ).
fof(f16,plain,
! [X2,X0,X1] :
( zero = divide(divide(X0,X2),X1)
| zero != divide(divide(X0,X1),X2) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,axiom,
! [X2,X0,X1] :
( divide(divide(X2,X1),divide(X2,X0)) = zero
| divide(X0,X1) != zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide2) ).
fof(f18,plain,
! [X2,X0,X1] :
( zero = divide(divide(X2,X1),divide(X2,X0))
| divide(X0,X1) != zero ),
inference(reorient_equations,[],[f17]) ).
fof(f21,axiom,
! [X0] : divide(identity,divide(identity,divide(identity,X0))) = divide(identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_inversion_equals_three) ).
fof(f22,plain,
! [X0] : divide(identity,X0) = divide(identity,divide(identity,divide(identity,X0))),
inference(reorient_equations,[],[f21]) ).
fof(f25,negated_conjecture,
divide(divide(identity,a),divide(identity,divide(identity,b))) != divide(divide(identity,b),divide(identity,divide(identity,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X1),X0) = zero,
inference(cnf_transformation,[],[f1]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)) = zero,
inference(cnf_transformation,[],[f3]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( divide(X1,X0) != zero )
| ( divide(X0,X1) != zero ) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_69,plain,
! [X0: $i] : divide(X0,zero) = X0,
inference(cnf_transformation,[],[f12]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( divide(divide(X0,X2),X1) = zero )
| ( divide(divide(X0,X1),X2) != zero ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( divide(divide(X2,X1),divide(X2,X0)) = zero )
| ( divide(X0,X1) != zero ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_74,plain,
! [X0: $i] : divide(identity,divide(identity,divide(identity,X0))) = divide(identity,X0),
inference(cnf_transformation,[],[f22]) ).
tcf(c_76,negated_conjecture,
divide(divide(identity,a),divide(identity,divide(identity,b))) != divide(divide(identity,b),divide(identity,divide(identity,a))),
inference(cnf_transformation,[],[f25]) ).
tcf(c_152,definition,
iPr_def_10 = divide(identity,a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_153,definition,
iPr_def_11 = divide(identity,b),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_154,definition,
iPr_def_12 = divide(identity,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_155,definition,
iPr_def_13 = divide(iPr_def_10,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_156,definition,
iPr_def_14 = divide(identity,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_157,definition,
iPr_def_15 = divide(iPr_def_11,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_158,negated_conjecture,
iPr_def_13 != iPr_def_15,
inference(demodulation,[status(thm)],[c_76,c_156,c_157,c_153,c_154,c_152,c_155]) ).
tcf(c_248,plain,
divide(identity,divide(identity,iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_152,c_74]) ).
tcf(c_249,plain,
divide(identity,divide(identity,iPr_def_11)) = iPr_def_11,
inference(superposition,[status(thm)],[c_153,c_74]) ).
tcf(c_254,plain,
divide(identity,iPr_def_12) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_249,c_154]) ).
tcf(c_255,plain,
divide(identity,iPr_def_14) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_248,c_156]) ).
tcf(c_338,plain,
! [X0: $i] : divide(divide(iPr_def_11,divide(X0,iPr_def_12)),divide(divide(identity,X0),iPr_def_12)) = zero,
inference(superposition,[status(thm)],[c_254,c_64]) ).
tcf(c_339,plain,
! [X0: $i] : divide(divide(iPr_def_10,divide(X0,iPr_def_14)),divide(divide(identity,X0),iPr_def_14)) = zero,
inference(superposition,[status(thm)],[c_255,c_64]) ).
tcf(c_700,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,X1),divide(X0,divide(X1,X2))) = zero,
inference(superposition,[status(thm)],[c_63,c_72]) ).
tcf(c_13415,plain,
divide(divide(iPr_def_11,divide(iPr_def_10,iPr_def_12)),divide(iPr_def_14,iPr_def_12)) = zero,
inference(superposition,[status(thm)],[c_156,c_338]) ).
tcf(c_13437,plain,
divide(divide(iPr_def_11,iPr_def_13),divide(iPr_def_14,iPr_def_12)) = zero,
inference(light_normalisation,[status(thm)],[c_13415,c_155]) ).
tcf(c_14156,plain,
divide(divide(iPr_def_10,divide(iPr_def_11,iPr_def_14)),divide(iPr_def_12,iPr_def_14)) = zero,
inference(superposition,[status(thm)],[c_154,c_339]) ).
tcf(c_14180,plain,
divide(divide(iPr_def_10,iPr_def_15),divide(iPr_def_12,iPr_def_14)) = zero,
inference(light_normalisation,[status(thm)],[c_14156,c_157]) ).
tcf(c_15071,plain,
divide(divide(divide(iPr_def_11,iPr_def_13),iPr_def_14),zero) = zero,
inference(superposition,[status(thm)],[c_13437,c_700]) ).
tcf(c_15073,plain,
divide(divide(divide(iPr_def_10,iPr_def_15),iPr_def_12),zero) = zero,
inference(superposition,[status(thm)],[c_14180,c_700]) ).
tcf(c_22607,plain,
divide(divide(iPr_def_11,iPr_def_13),iPr_def_14) = zero,
inference(demodulation,[status(thm)],[c_15071,c_69]) ).
tcf(c_22626,plain,
divide(divide(iPr_def_11,iPr_def_14),iPr_def_13) = zero,
inference(superposition,[status(thm)],[c_22607,c_71]) ).
tcf(c_22637,plain,
divide(iPr_def_15,iPr_def_13) = zero,
inference(light_normalisation,[status(thm)],[c_22626,c_157]) ).
tcf(c_22712,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( divide(iPr_def_13,iPr_def_15) != zero ) ),
inference(superposition,[status(thm)],[c_22637,c_66]) ).
tcf(c_22738,plain,
divide(iPr_def_13,iPr_def_15) != zero,
inference(forward_subsumption_resolution,[status(thm)],[c_22712,c_158]) ).
tcf(c_23441,plain,
divide(divide(iPr_def_10,iPr_def_15),iPr_def_12) = zero,
inference(demodulation,[status(thm)],[c_15073,c_69]) ).
tcf(c_23460,plain,
divide(divide(iPr_def_10,iPr_def_12),iPr_def_15) = zero,
inference(superposition,[status(thm)],[c_23441,c_71]) ).
tcf(c_23471,plain,
divide(iPr_def_13,iPr_def_15) = zero,
inference(light_normalisation,[status(thm)],[c_23460,c_155]) ).
tcf(c_23472,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_23471,c_22738]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN011-5 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 16:20:54 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 4.74/2.18 % SZS status Started for theBenchmark.p
% 4.74/2.18 % SZS status Unsatisfiable for theBenchmark.p
% 4.74/2.18
% 4.74/2.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.74/2.18
% 4.74/2.18 % ------ iProver source info
% 4.74/2.18
% 4.74/2.18 % git: date: 2026-07-19 20:42:38 +0200
% 4.74/2.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.74/2.18 % git: non_committed_changes: false
% 4.74/2.18
% 4.74/2.18 % ------ Parsing...% successful
% 4.74/2.18
% 4.74/2.18
% 4.74/2.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.74/2.18
% 4.74/2.18 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.74/2.18
% 4.74/2.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.74/2.18
% 4.74/2.18 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.74/2.18 % ------ Proving...
% 4.74/2.18 % ------ Problem Properties
% 4.74/2.18
% 4.74/2.18 %
% 4.74/2.18 % clauses 20
% 4.74/2.18 % conjectures 1
% 4.74/2.18 % EPR 1
% 4.74/2.18 % Horn 20
% 4.74/2.18 % unary 15
% 4.74/2.18 % binary 3
% 4.74/2.18 % lits 27
% 4.74/2.18 % lits eq 27
% 4.74/2.18 % fd_pure 0
% 4.74/2.18 % fd_pseudo 0
% 4.74/2.18 % fd_cond 0
% 4.74/2.18 % fd_pseudo_cond 1
% 4.74/2.18 % AC symbols 0
% 4.74/2.18
% 4.74/2.18 % ------ Schedule dynamic 5 is on
% 4.74/2.18
% 4.74/2.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.74/2.18
% 4.74/2.18
% 4.74/2.18 % ------
% 4.74/2.18 % Current options:
% 4.74/2.18 % ------
% 4.74/2.18
% 4.74/2.18
% 4.74/2.18 %
% 4.74/2.18
% 4.74/2.18 % ------ Proving...
% 4.74/2.18 %
% 4.74/2.18
% 4.74/2.18 % SZS status Unsatisfiable for theBenchmark.p
% 4.74/2.18
% 4.74/2.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.74/2.18
% 4.74/2.18
%------------------------------------------------------------------------------